It is true for doggerel only. Poetry that endures uses many devices other than end-rhymes.
Example 1:
Sonnet by Shelley
OZYMANDIAS
I met a traveller from an antique land
Who said: Two vast and trunkless legs of stone
Stand in the desert. Near them, on the sand,
Half sunk, a shattered visage lies, whose frown
And wrinkled lip, and sneer of cold command
Tell that its sculptor well those passions read
Which yet survive, stamped on these lifeless things,
The hand that mocked them and the heart that fed.
And on the pedestal these words appear:
“My name is Ozymandias, king of kings:
Look on my works, ye Mighty, and despair!”
Nothing beside remains. Round the decay
Of that colossal wreck, boundless and bare
The lone and level sands stretch far away.
2)
Introduction To Poetry by Billy Collins (About teaching poetry to college students)
I ask them to take a poem
and hold it up to the light
like a color slide
or press an ear against its hive.
I say drop a mouse into a poem
and watch him probe his way out,
or walk inside the poem’s room
and feel the walls for a light switch.
I want them to waterski
across the surface of a poem
waving at the author’s name on the shore.
But all they want to do
is tie the poem to a chair with rope
and torture a confession out of it.
They begin beating it with a hose
to find out what it really means.